I need some help please

The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). After translation, R' is the point (–11, –11). Fin

koban [17]

Answer:

The original coordinate of

R is (-5, -5)

The new coordinate of

R is (-11, -11)

The translation rule is ( x - 6, y - 6)

The original coordinate of

U is (-5, 1)

The new coordinate of

U is (-5 - 6, 1 - 6)

which is

(-11, -5)

U' = (-11, -5)

7 0

3 years ago

A car travels 10km southeast and then 15 km in a direction 60 degrees north of east. What is the magnitude of the car's resultan

Maurinko [17]

Answer: 15.85km

Step-by-step explanation:

The car starts at the point (0,0)

Let's define east as the positive x-axis and north as the positive y-axis.

first, the car travels 10km southeast, so the angle is -45° from the east.

Then the new position of the car is:

(10km*cos(-45°), 10km*sin(-45°)) = (7.07km, -7.07km)

Now, from this point the car travels 15km with an angle of 60° (counting from the east)

So the new position is:

(7.07km + 15km*cos(60°), -7.07km + 15km*sin(60°)) = (14.57km , 5.91km)

The magnitude of a vector (x, y) is √(x^2 + y^2)

So the magnitude of the vector (14.57km , 5.91km) is:

√((14.57km)^2 + (5.91km)^2) = 15.85km

4 0

3 years ago

Jason’s budget is shown in the circle graph below. His total monthly budget is $3,000. How much does Jason spend on groceries? A

bonufazy [111]

Answer:

D.$750

Step-by-step explanation:

3000 x 0.25 = 750

8 0

3 years ago

Read 2 more answers

Please help... I have no clue

muminat

Answer:

OPTION C: Sin C - Cos C = s - r

Step-by-step explanation:

ABC is a right angled triangle. ∠A = 90°, from the figure.

Therefore, BC = hypotenuse, say h

Now, we find the length of AB and AC.

We know that: $\textbf{Sin A} = \frac{\textbf{opp}}{\textbf{hyp}}$

and $\textbf{Cos A} = \frac{\textbf{adj}}{\textbf{hyp}}$

Given, Sin B = r and Cos B = s

⇒ $Sin B = r = \frac{opp}{hyp} = \frac{AC}{BC} = \frac{AC}{h}$

⇒ $\textbf{AC} = \textbf{rh}$

Hence, the length of the side AC = rh

Now, to compute the length of AB, we use Cos B.

$Cos B = s = \frac{adj}{hyp} = \frac{AB}{BC} = \frac{AB}{h}$

⇒ $\textbf{AB} = \textbf{sh}$

Hence, the length of the side AB = sh

Now, we are asked to compute Sin C - Cos C.

$Sin C = \frac{opp}{hyp}$

⇒ $Sin C = \frac{AB}{BC}$

$= \frac{sh}{h}$

= s

Sin C = s

$Cos C = \frac{adj}{hyp}$

$\implies Cos C = \frac{AC}{BC}$

⇒ Cos C = $\frac{rh}{h}$

Therefore, Cos C = r

So, Sin C - Cos C = s - r, which is OPTION C and is the right answer.

5 0

3 years ago

What is the equation of the graphed line written in

Andrew [12]

Given:

Given that the graph of the linear equation.

We need to determine the equation of the graph.

Slope:

The slope of the equation can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Let us substitute the coordinates (2,0) and (0,-4) in the above formula, we get;

$m=\frac{-4-0}{0-2}$

$m=\frac{-4}{-2}$

$m=2$

Thus, the slope of the equation is 2.

y - intercept:

The y - intercept of the equation is the value of y when x = 0.

Hence, from the graph, it is obvious that when x = 0, the value of y is -4.

Therefore, the value of the y - intercept is b = -4.

Equation of the line:

The equation of the line can be determined using the formula,

$y=mx+b$

Substituting the values, we have;

$y=2x-4$

Subtracting both sides by 2x, we have;

$-2x+y=-4$

Dividing both sides by -1, we get;

$2x-y=4$

Thus, the equation of the line is $2x-y=4$

Hence, Option B is the correct answer.

3 0

3 years ago